What is the common difference, d, of the sequence? −92, −74, −56, −38, −20, ... Enter your answer in the box.

Hello! The common distance of the sequence is 18. This is because 74 and 92 are 18 units apart, 74 and 56 are 18 units apart, 56 and 38 are 18 units apart, and so on. You can find the difference of the sequence by finding the distance between two numbers.

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shristiparmar1221 shristiparmar1221 · Answer 2 · 2021-12-08T11:04:32+01:00

This question is based on the sequence. Therefore, common difference, d is 18 of the given sequence.

In this question, we have to determined the common difference i.e. d of the given sequence.

Given, Sequence is −92, −74, −56, −38, −20, ...

By using the formula of common difference,

d= [tex]\bold{= a_n_+_1- a_n}[/tex]

Here, [tex]a_1[/tex]= -92, [tex]a_2[/tex] = -74, [tex]a_3[/tex] = -56, [tex]a_4[/tex] = -38, [tex]a_5[/tex] = -20

Now, Find the value of d ,

[tex]d_1 = a_2-a_1\\d_1 = -74-(-92)\\d_1 = 18[/tex]

[tex]d_2= a_3- a_2\\d_2 = -56-(-74)\\d_2 = 18[/tex]

,[tex]d_3 = a_4-a_3\\d_3= -38-(-56)\\d_3 =18[/tex]

[tex]d_4 = a_5-a_4\\d_4= -20-(-38)\\d_4 =18[/tex]

Thus, all the differences i.e. [tex]\bold{d_1 = d_2 = d_3 = d_4}[/tex] are equal to 18. Therefore, common difference, d is 18 of the given sequence.

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https://brainly.com/question/25301148